Zozulya, Vladimir

In this article the methodology for divergent integral regularization developed in [8] is applied for regularization of the weakly singular and hypersingular integrals, which arise when the boundary integral equations (BIE) methods are used to solve problems in fracture mechanics. The approach is based on the theory of distribution and the applicat...

Denda, M.

A boundary element method (BEM) for bimaterial domains consisting of two isotropic solids bonded perfectly along the straight interface will be developed. We follow the physical interpretation of Somigliana’s identity to represent the displacement in the bimaterial domain by the continuous distributions of the line forces and dislocation dipoles ov...

Ibrahim, Mohamad Nasir Mohamad Shuib, Solehuddin

The application of Taguchi Robust Design Technique (TRDT) coupled with the Boundary Element Method (BEM) in analyzing the productivity performance of an oil reservoir is presented in this paper. Several reservoir rock and reservoir fluid properties; i.e. permeability, thickness, porosity and viscosity, were chosen in this study. The BEM allows the ...

Sladek, V. Sladek, J.

The boundary and domain-type approximations are discussed in boundary integral equation formulations for solution of boundary value problems. A new approach is proposed with using a domain-type approximation of the primary field and collocation of boundary conditions at boundary nodes and local integral representation of the primary field at interi...

Dijkstra, W. Mattheij, R.M.M.

We investigate the condition number of the matrices that appear in the boundary element method. In particular we consider the Laplace equation with mixed boundary conditions. For Dirichlet boundary conditions, the condition number of the system matrix increases linearly with the number of boundary elements. We extend the research and search for a r...

Burczynski, T. Habarta, M.

This paper presents the implementation of the boundary element method to shape sensitivity analysis of elastic structures with stress concentrators. An elastic body which contains a number of voids (internal boundaries), playing the role of stress concentrators, is considered. We are interested in calculating the first order sensitivity of shape–de...

Polyzos, D. Tsepoura, K. G. Beskos, D. E.

A boundary element methodology is presented for the frequency domain elastodynamic analysis of three-dimensional solids characterized by a linear elastic material behavior coupled with microstructural effects taken into account with the aid of the simple gradient elastic theory of Aifantis. A variational statement is established to determine all po...

Denda, M Mattingly, E

We develop a singular crack element for the general anisotropic solids in two dimensions for the mixed mode boundary element analysis of multiple straight cracks. Given a normalized crack along an interval (–1, +1) on the X-axis, we represent the crack opening displacement (COD) by the continuous distribution of dislocation dipoles, which is interp...

Chisholm, E. Gray, L.J. Giles, G.E.

An efficient algorithm for solving multiple reaction electrochemical polarization equations is presented. The boundary integral formulation for the electric field (Laplace equation) conveniently provides a direct relationship between potential and current at the electrode surfaces, which can then be coupled to the nonlinear polarization boundary co...

Gray, L. J. Griffith, A. Johnson, L. Wawrzynek, P. A.

Algorithms for the direct evaluation of singular Galerkin boundary integrals for three-dimensional anisotropic elasticity are presented. The integral of the traction kernel is defined as a boundary limit, and (partial) analytic evaluation is employed to compute the limit. The spherical angle components of the Green's function and its derivatives ar...